Abstract:
It is known that the algebra of linear recurring sequences over a commutative
ring $R$ is the Hopf algebra dual to the polynomial algebra over $R$.
In this paper, we consider some concepts and operations of the theory
of Hopf algebras and modules which have interesting interpretations
in terms of linear recurring sequences. This research was supported by the President of the Russian Federation grants
2358.2003.9 for support of leading scientific schools and
2452.2004.10 for support of young doctors of sciences.
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